Infinite Dimensional Analysis Quantum Probability and Related Topics

ON QUANTUM SEMIGROUP ACTIONS ON FINITE QUANTUM SPACES

Piotr Mikołaj Sołtan

Published Sep 1, 2009• 8 citations

Abstract

We show that a continuous action of a quantum semigroup [Formula: see text] on a finite quantum space (finite dimensional C*-algebra) preserving a faithful state comes from a continuous action of the quantum Bohr compactification [Formula: see text] of [Formula: see text]. Using the classification of continuous compact quantum group actions on M2, we give a complete description of all continuous quantum semigroup actions on this quantum space preserving a faithful state.

DOI: 10.1142/s0219025709003768

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